three coins are flipped. what is p(heads, heads, heads)?
three coins are flipped. what is p(heads, heads, heads)?
Answer
Explanation:
Step1: Determine probability of single - coin flip
The probability of getting heads in a single fair - coin flip is $\frac{1}{2}$ since there are 2 possible outcomes (heads or tails) and 1 favorable outcome (heads).
Step2: Use multiplication rule for independent events
When flipping multiple independent coins, the probability of a sequence of events is the product of the probabilities of each individual event. Since the flips are independent, for three coin flips, we multiply the probabilities of getting heads in each flip. $P(\text{heads, heads, heads})=\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}$ $P(\text{heads, heads, heads})=\frac{1}{8}$
Answer:
$\frac{1}{8}$